Browsing by Author "Martínez, Eduardo"
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Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2009-08-14)
Research report
Open AccessThe geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers. The relation between the solutions of the Hamilton--Jacobi ... -
Geometric Hamilton–Jacobi Theory
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2006-04-21)
Article
Open AccessThe Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for Lagrangian systems in order to avoid the bias ... -
Hamilton-Jacobi theory and the evolution operator
Cariñena, José F.; Gràcia Sabaté, Francesc Xavier; Martínez, Eduardo; Marmo, Giuseppe; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Prensas Univ. Zaragoza, 2009-04)
Part of book or chapter of book
Open AccessWe present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in ...